Victoria's and Sarah's savings were in the ratio of 4 : 7. Both of them shared the cost of their auntie's present equally. Victoria's remaining savings was
13 as much as Sarah's savings. What percentage of her savings did Sarah spend? Correct the answer to 1 decimal place.
|
Victoria |
Sarah |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Victoria and Sarah shared the cost of their auntie's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Victoria and Sarah at first and in the end remains the same. Make the difference in the amounts between Victoria and Sarah at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Sarah spent on the present
= 14 u - 9 u
= 5 u
Percentage of her savings that Sarah spent
=
514 x 100%
≈ 35.7%
Answer(s): 35.7%